Search a number
-
+
129641043249 = 3225724672
BaseRepresentation
bin111100010111100110…
…1010101010100110001
3110101121220111100112100
41320233031111110301
54111001101340444
6135320053251013
712236424454134
oct1705715252461
9411556440470
10129641043249
114aa86a97663
1221160633a69
13c2c07038a3
1463bb94a21b
15358b5aae69
hex1e2f355531

129641043249 has 27 divisors (see below), whose sum is σ = 188394166987. Its totient is φ = 85906719744.

The previous prime is 129641043239. The next prime is 129641043263. The reversal of 129641043249 is 942340146921.

The square root of 129641043249 is 360057.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 127631135025 + 2009908224 = 357255^2 + 44832^2 .

It is not a de Polignac number, because 129641043249 - 219 = 129640518961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129641043209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 277603714 + ... + 277604180.

Almost surely, 2129641043249 is an apocalyptic number.

129641043249 is the 360057-th square number.

129641043249 is the 180029-th centered octagonal number.

It is an amenable number.

129641043249 is a deficient number, since it is larger than the sum of its proper divisors (58753123738).

129641043249 is an frugal number, since it uses more digits than its factorization.

129641043249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 129641043249 in words is "one hundred twenty-nine billion, six hundred forty-one million, forty-three thousand, two hundred forty-nine".

Divisors: 1 3 9 257 467 771 1401 2313 4203 66049 120019 198147 218089 360057 594441 654267 1080171 1962801 30844883 56048873 92534649 168146619 277603947 504439857 14404560361 43213681083 129641043249